jika 3log2 =a, 2log5 =b, 30 log 45 =

Bab Logaritma
Matematika SMA Kelas X

^ = pangkat

^30log 45
= ²log 45 : ²log 30
= (²log (9 x 5)) : (²log (2 x 3 x 5))
= (²log 3² + ²log 5) : (²log 2 + ²log 3 + ²log 5)
= (2 . ²log 3 + b) : (1 + 1/a + b)
= (2/a + b) : (a + 1 + b)/a
= (2 + ab)/a : (a + b + 1)/a
= (ab + 2)/(a + b + 1)